2759920 has 20 divisors (see below), whose sum is σ = 6417000. Its totient is φ = 1103936.

The previous prime is 2759917. The next prime is 2759929. The reversal of 2759920 is 299572.

It is a tau number, because it is divible by the number of its divisors (20).

It is a d-powerful number, because it can be written as 2¹⁷ + 7² + 5³ + 9² + 9⁶ + 2²¹ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2759929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17170 + ... + 17329.

It is an arithmetic number, because the mean of its divisors is an integer number (320850).

2^2759920 is an apocalyptic number.

2759920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2759920 is an abundant number, since it is smaller than the sum of its proper divisors (3657080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2759920 is a wasteful number, since it uses less digits than its factorization.

2759920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34512 (or 34506 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 2759920 is about 1661.3006952385. The cubic root of 2759920 is about 140.2702263759.

The spelling of 2759920 in words is "two million, seven hundred fifty-nine thousand, nine hundred twenty".